1. The figure shown is a composite shape consists of a right triangle and a semi-circle. Determine the x and y coordinates of the centroid of the composite shape expressed as X and y.

Q: Evaluate L₂Lova (4-3²) dydx -√4-x² by using polar coordinates.

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Q: Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates

A: Given query is to find equation of paraboloid in spheo coordinates.

Q: (1) Let T be the triangle in the xy-plane with vertices at (0,0), (0,2) og (2,2). Calculate the…

A: Let T be the triangle in the xy-plane with vertices at (0,0), (0,2) og (2,2). Calculate the double…

Q: Find a vector function that represents the curve of intersection between the paraboloid 2 z = 4x² +…

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Q: What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4 represent in…

A: Given: What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4…

Q: Transform (0, 5, 2) from rectangular into spherical form (here z is any negative number).

A: given rectangular coordinates is of the form (x, y, z) are (0,5,z) Now we are going to find…

Q: hat is the scalar equation of the xy plane?

A: Given query is to find the scalar equation of the XY plane.

Q: Give equations for two distinct planes whose trace in the yz-plane has equation y = 4z

A: Given, two distinct planes have trace in the yz-plane has equation y = 4z

Q: Solve this problem in digital format and step by step Given the functions find the centroid…

A: Given y=x2, y=e-12x

Q: Consider the three following points of R'. A = (0, 2, 2) B = (1, 1, 1) C = (-1, 1,2) (a) Find the…

A: The scalar equation of a plane is of the form: ax+by+cz+d=0, where a, b, c ,d are constants. The…

Q: 1. Find a parametrization of the line segment L from -2 to -2 + 2i. 2. Find the image of L under the…

A: We will find the equation for L and the image of L under w

Q: A point moves so that sum of the squares of its distances from the vertices of a triangle is always…

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Q: 1 in 1in y 1 in 3 in 1 in X

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Q: Determine whether u, v and w lie in the same plane when positioned so that their initial points…

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Q: Must the centroid of an isosceles triangle lie on the altitude to the base?

A: The centroid of an isosceles triangle lie on the altitude.

Q: The figure below is a plot of the equation of the line y = A/x where A = 5.8. a) Determine the…

A: a. The formula for length of a curve is defined as, L=∫x1x21+dydx2dx Here we have given that y=5.8x,…